Search a number
-
+
110493552 = 24313253257
BaseRepresentation
bin1101001010111…
…11111101110000
321200220122122210
412211133331300
5211241243202
614544132120
72511115431
oct645377560
9250818583
10110493552
1157409494
1231007040
1319b78c00
1410963488
159a78c6c
hex695ff70

110493552 has 120 divisors (see below), whose sum is σ = 316144944. Its totient is φ = 33226752.

The previous prime is 110493533. The next prime is 110493563. The reversal of 110493552 is 255394011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429808 + ... + 430064.

Almost surely, 2110493552 is an apocalyptic number.

110493552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110493552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158072472).

110493552 is an abundant number, since it is smaller than the sum of its proper divisors (205651392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110493552 is a wasteful number, since it uses less digits than its factorization.

110493552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 110493552 is about 10511.5913162565. The cubic root of 110493552 is about 479.8575271601.

The spelling of 110493552 in words is "one hundred ten million, four hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 169 208 212 257 312 318 338 424 507 514 624 636 676 689 771 848 1014 1028 1272 1352 1378 1542 2028 2056 2067 2544 2704 2756 3084 3341 4056 4112 4134 5512 6168 6682 8112 8268 8957 10023 11024 12336 13364 13621 16536 17914 20046 26728 26871 27242 33072 35828 40092 40863 43433 53456 53742 54484 71656 80184 81726 86866 107484 108968 130299 143312 160368 163452 173732 177073 214968 217936 260598 326904 347464 354146 429936 521196 531219 653808 694928 708292 1042392 1062438 1416584 2084784 2124876 2301949 2833168 4249752 4603898 6905847 8499504 9207796 13811694 18415592 27623388 36831184 55246776 110493552